Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400eo |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-71539200000000 = -1 · 215 · 35 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 -6 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8833,514463] |
[a1,a2,a3,a4,a6] |
Generators |
[83:600:1] |
Generators of the group modulo torsion |
j |
-5955080/5589 |
j-invariant |
L |
7.3980334677147 |
L(r)(E,1)/r! |
Ω |
0.56141305572498 |
Real period |
R |
0.21962538313425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400ch1 55200bv1 110400ba1 |
Quadratic twists by: -4 8 5 |